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Most inductor's Q has a sort of bell shape vs. frequency, due to the competing mechanism of omege* L and Rs. Increase thickness only helps to certain degree due to the skin depth. Above a high enough f, increase thickness will no longer help.
You're right but you can not increase the frequency as you wish too with CMOS process, so skin effect may be negligible within moderate frequencies unless if you use very particular
CMOS process.
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